Greatest Common Factor of 1094/659, 8499/507

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1094/659, 8499/507

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 1094/659,8499/507

Given fractions are 1094/659,8499/507

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 1094,8499

Greatest Common Factor of Numerators i.e. GCF of 1094,8499 is 1 .

LCM of Denominators means LCM of 659,507 as per the given fractions.

LCM of 659,507 is 334113 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1094,8499

GCF of Fractions 1094/659,8499/507 is 1/334113

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 1094,8499 By Matching Biggest Common Factor Method

Greatest Common Factor of 1094,8499 By Matching Biggest Common Factor Method

Factors of 1094

List of positive integer factors of 1094 that divides 1094 without a remainder.

1,2,547,1094

Factors of 8499

List of positive integer factors of 8499 that divides 8499 without a remainder.

1,3,2833,8499

Greatest Common Factor

We found the factors 1094,8499 . The biggest common factor number is the GCF number.
So the greatest common factor 1094,8499 is 1.

Lets's calculate LCM of 659,507

Given numbers has no common factors except 1. So, there LCM is their product i.e 334113

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/334113

Therefore, the GCF of Fractions 1094/659,8499/507 is 1/334113

Least Common Multiple of 659,507 with GCF Formula

Least Common Multiple of 659,507 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 659,507 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(659,507) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(659,507) x common factors =1 x 1 = 1

LCM(659,507) = ( 659 × 507 ) / 1

LCM(659,507) = 334113 / 1

LCM(659,507) = 334113


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 1094/659, 8499/507

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 1094/659, 8499/507?

Answer: GCF of Numerators as per given numbers 1094/659, 8499/507 is

GCF of Numerators i.e. for 1094,8499 is 1

LCM of denominators i.e. for 659,507 is 334113.

Thus, GCF of Fractions is 1/334113.Finally, GCF of Fractions for 1094/659, 8499/507 is 1/334113.